Casimir Effect for Massless Fermions in One Dimension: A Force Operator Approach

Details Casimir Effect for Massless Fermions in One Dimension: A Force Operator Approach Casimir Effect for Massless Fermions in One Dimension: A Force Operator Approach

2008-12-10

arxiv.org/abs/0812.1990v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

(4 pages, 3 figures; to appear in Phys. Rev. A, Rapid Communications)

Scientific paper

10.1103/PhysRevA.78.060103

We calculate the Casimir interaction between two short range scatterers embedded in a background of one dimensional massless Dirac fermions using a force operator approach. We obtain the force between two finite width square barriers, and take the limit of zero width and infinite potential strength to study the Casimir force mediated by the fermions. For the case of identical scatterers we recover the conventional attractive one dimensional Casimir force. For the general problem with inequivalent scatterers we find that the magnitude and sign of this force depend on the relative spinor polarizations of the two scattering potentials which can be tuned to give an attractive, a repulsive, or a compensated null Casimir interaction.

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